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Finding the Third Proportional to 103,435,548.75 and 225,031,290.75

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Solution

The third proportional to 103,435,548.75 and 225,031,290.75 is: 489,571,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,435,548.75 : 225,031,290.75 = 225,031,290.75 : x
  2. Step 2: Convert to fraction form
    103,435,548.75/225,031,290.75 = 225,031,290.75/x
  3. Step 3: Cross multiply
    103,435,548.75x = 225,031,290.75 × 225,031,290.75
  4. Step 4: Simplify right side
    103,435,548.75x = 50,639,081,816,611,032
  5. Step 5: Solve for x
    x = 50,639,081,816,611,032/103,435,548.75
  6. Step 6: Final answer
    x = 489,571,355.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.